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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 223 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.756517 ÷ 997 =
  2. 2.619888 ÷ 989 =
  3. 3.36582 ÷ 98 =
  4. 4.4754 ÷ 8 =
  5. 5.22498 ÷ 98 =
  6. 6.13878 ÷ 98 =
  7. 7.200766 ÷ 997 =
  8. 8.21154 ÷ 96 =
  9. 9.517862 ÷ 998 =
  10. 10.765452 ÷ 997 =
  11. 11.632156 ÷ 988 =
  12. 12.657274 ÷ 998 =
  13. 13.26979 ÷ 897 =
  14. 14.56522 ÷ 98 =
  15. 15.941114 ÷ 997 =
  16. 16.85110 ÷ 88 =
  17. 17.844754 ÷ 998 =
  18. 18.712997 ÷ 998 =
  19. 19.242167 ÷ 998 =
  20. 20.2478 ÷ 8 =
  21. 21.8562 ÷ 89 =
  22. 22.21130 ÷ 88 =
  23. 23.498150 ÷ 988 =
  24. 24.98148 ÷ 98 =
  25. 25.990128 ÷ 897 =
  26. 26.821630 ÷ 988 =
  27. 27.199215 ÷ 998 =
  28. 28.613056 ÷ 988 =
  29. 29.711524 ÷ 989 =
  30. 30.10796 ÷ 98 =
  31. 31.243900 ÷ 997 =
  32. 32.691149 ÷ 897 =
  33. 33.74015 ÷ 97 =
  34. 34.551881 ÷ 988 =
  35. 35.817 ÷ 8 =
  36. 36.452336 ÷ 998 =
  37. 37.83786 ÷ 96 =
  38. 38.63453 ÷ 89 =
  39. 39.21539 ÷ 988 =
  40. 40.8372 ÷ 8 =

Answer key

  1. 758 rem 791
  2. 626 rem 774
  3. 373 rem 28
  4. 594 rem 2
  5. 229 rem 56
  6. 141 rem 60
  7. 201 rem 369
  8. 220 rem 34
  9. 518 rem 898
  10. 767 rem 753
  11. 639 rem 824
  12. 658 rem 590
  13. 30 rem 69
  14. 576 rem 74
  15. 943 rem 943
  16. 967 rem 14
  17. 846 rem 446
  18. 714 rem 425
  19. 242 rem 651
  20. 309 rem 6
  21. 96 rem 18
  22. 240 rem 10
  23. 504 rem 198
  24. 1001 rem 50
  25. 1103 rem 737
  26. 831 rem 602
  27. 199 rem 613
  28. 620 rem 496
  29. 719 rem 433
  30. 110 rem 16
  31. 244 rem 632
  32. 770 rem 459
  33. 763 rem 4
  34. 558 rem 577
  35. 102 rem 1
  36. 453 rem 242
  37. 872 rem 74
  38. 712 rem 85
  39. 21 rem 791
  40. 1046 rem 4

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